815351472 has 240 divisors, whose sum is σ = 2656704960. Its totient is φ = 231340032.

The previous prime is 815351419. The next prime is 815351473. The reversal of 815351472 is 274153518.

815351472 is a `hidden beast` number, since 81 + 535 + 1 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (815351473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248298 + ... + 1248950.

It is an arithmetic number, because the mean of its divisors is an integer number (11069604).

Almost surely, 2^815351472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815351472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328352480).

815351472 is an abundant number, since it is smaller than the sum of its proper divisors (1841353488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

815351472 is a wasteful number, since it uses less digits than its factorization.

815351472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 723 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 815351472 is about 28554.3599473005. The cubic root of 815351472 is about 934.2181199269.

The spelling of 815351472 in words is "eight hundred fifteen million, three hundred fifty-one thousand, four hundred seventy-two".